Home
Class 12
MATHS
If the solution of the equation (x^4-9) ...

If the solution of the equation `(x^4-9) -(x^2 + 3)| = [x^4 - 9| - |x^2 + 3|` is `(-oo,p]uu[q,oo)` then

A

`p+q=0`

B

`|p|+|q|=4`

C

`|q-p|=4`

D

`|pq|=4`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

If the solution of the equation |(x^(4)-9)-(x^(2)+3)|=|x^(4)-9|-|x^(2)+3| is (-oo,p]uu[q,oo) then value of p+q is (a) p=-3(b)p=-2(a)q=2(d)q=3

If solution set of the inequation (log_(3))(|x^(2)-4x|+3)/(x^(2)+|x-5|)>=0, is (-oo,a]uu[b,c] tyhen find the value of (3a+2b+c)

If solution of the equation |(x)/(x-1)|+|x|=(x^(2))/(|x-1|) is (a,oo)uu{b} then 3a+b is

If solution set of Inequality (x^(2)+x-2)(x^(2)+x-16)ge -40 is x epsilon(-oo, -4]uu[a,b]uu[c,oo) then a+b-c is

Complete solution set of the inequation (x^(2)-1)(x^(2)-6x+8)>=0 is x in[-1,1]uu[2,4]x in(-oo,-1)uu[1,2]uu[4,oo]x in[-1,2]uu[4,oo](d) none of these

complete solution set of the inequality (2+sqrt(3))^(x^(2)-x)+(2-sqrt(3))^(x^(2)-x)>=14 is (-oo,a]uu[b,oo)* find |a|+|b|

The solution of the inequality (tan^(-1)x)^(2)-3tan^(-1)x+2>=0 is- a.(-oo,tan1]uu[tan2,oo)b*(-oo,tan1] c.(-oo,-tan1]uu[tan2,oo)d.[-1,1]-(-(sqrt(2))/(2),(sqrt(2))/(2))

Solution set of the inequation,(x^(2)-5x+6)/(x^(2)+x+1)<0 is x in(-oo,2) (b) x in(2,3)x in(-oo,2)uu(3,oo)( d) x in(3,oo)

The domain of the function f :R rarr R defined by f(x)=sqrt(x^(2)-3x+2) is (-oo,a]uu[b,oo) then a+ b=

The domain of the function f:R rarr R defined by f(x)=sqrt(x^(2)-3x+2) is (-oo,a]uu[b,oo) then b-a

RESONANCE-DPP-QUESTION
  1. If a,b,c are distinct positive numbers in H.P. then which of the relat...

    Text Solution

    |

  2. If the sum of first 100 terms of an arithmetic progression is - 1 and ...

    Text Solution

    |

  3. If the solution of the equation (x^4-9) -(x^2 + 3)| = [x^4 - 9| - |x^2...

    Text Solution

    |

  4. Let Tn denotes the n^(th) term of a G.P. with common ratio 2 and (lo...

    Text Solution

    |

  5. Draw the labled graph of following (i) y = |7-2x| , (ii) y = |x-1|-|3...

    Text Solution

    |

  6. Which one of the following inequality holds good (A) cos 12^@ lt tan 1...

    Text Solution

    |

  7. If x = cos alpha + cos beta - cos(alpha +beta) and y = 4 sin '(alpha)...

    Text Solution

    |

  8. Find the sum of the series 1+2(1-x)+3(1-x)(1-2x)++n(1-x)(1-2x)(1-3x)[1...

    Text Solution

    |

  9. If a,b respectively be the number of solutions and sum of solutions of...

    Text Solution

    |

  10. The equation |x + 2| - |x + 1| + |x -1| =K,x in R has two solutions i...

    Text Solution

    |

  11. If |sin^2 x + 17 - x ^2| = |16 - x^2| + 2sin^2 x + cos^2 x then subset...

    Text Solution

    |

  12. Msolution set of the inequality sqrt(7-x) > 2x-3 , is contained by the...

    Text Solution

    |

  13. Let y = cosx (cosx - cos 3x). Then y is

    Text Solution

    |

  14. The (m + 1)^(th) term of (x/y+y/x)^(2m + 1 ) is

    Text Solution

    |

  15. The remainder when 2^(2003) is divided by 17 is:

    Text Solution

    |

  16. Solution set of 4 sintheta*costheta-2 costheta-2sqrt3 sin theta+sqrt3 ...

    Text Solution

    |

  17. sin 36^(º)sin 72^(º) sin108^(º) sin 144^(º) =

    Text Solution

    |

  18. In an A.P. the third term is four times the first term, and the sixth ...

    Text Solution

    |

  19. The sum of three numbers in A.P. is 27, and their product is 504, find...

    Text Solution

    |

  20. Determine all pairs (a,b) of real numbers such that 10, a,b,ab are in ...

    Text Solution

    |